Inelastic Analysis of Solids and Structures

By M. Kojić, Klaus-Jürgen Bathe. 2004

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Effects of plasticity on subsurface initiated spalling in rolling contact fatigue (2012, methodology): “Using the Prager’s [24] rule for kinematic hardening the evolution of the backstress tensor is given as follows:”
An Eulerian-Lagrangian approach for simulating explosions of energetic devices (2007, result): “The assumption of an additive decomposition of the rate of deformation into elastic and plastic parts was made for this work, even though a multiplicative decomposition as described by other investigators [25–29] is likely more appropriate, and will be considered in future works.”
Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme (2007, background): “Here, large deformations and inelastic response can directly be included [1] [15] [16].”
A modified three-surface elasto-plastic cap model and its numerical implementation (2007, background): “k(2)nþ1 1⁄4 kdev1⁄2r nþ1 k fdpðaÞ 2G k(1)nþ1 ð12Þ Finally, for development of the consistent tangent moduli (see [12,14,17]), it is necessary to perform the derivative of the stress constitutive equation in (9), which leads to”